Solved Example #1

Saturday, February 9th, 2013

Question: At what time between 2 and 3 the angle between the hands of clock is 60 degrees?


At 2 o’clock the angle is 60 degree.

After t minutes past 2:

Minute hand from the vertical = 6t

Hour hand from the vertical = 60 + 0.5t

Required angle is : 6t – (60 + 0.5t) = 60

ie.  5.5t = 120

Therefore ,  t = 240/11 = 21 9/11 minutes,

At 2:21:9/11th min the angle between the hands of a clock would be 60 degrees.

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